Prime p₀= 2906957812044678809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 34 2 58 2 22 2 (?)
a_n: 0 2 18 20 60 62 102 104 138 140 198 200 222 224
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 224
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 16 40 40 34 58 22

SPT(16)	2906956437690941599	0 12 28 54 60 108 138 148 234 244 274 322 328 354 370 382	-1374353737210
SPT(16)	2906957096310637919	0 20 38 104 152 174 234 240 332 338 398 420 468 534 552 572	-715734040890
SPT(16)	2906957188143013177	0 6 22 60 90 120 132 154 162 184 196 226 256 294 310 316	-623901665632
STPT(10)	2906957378183655257	0 2 24 26 42 44 60 62 84 86	-433861023552
SPT(16)	2906957412964629833	0 14 26 56 86 96 230 260 264 294 428 438 468 498 510 524	-399080048976
STPT(10)	2906957743867801319	0 2 48 50 90 92 132 134 180 182	-68176877490
SPT(16)	2906958030535428659	0 14 102 152 168 194 210 212 240 242 258 284 300 350 438 452	218490749850
STPT(10)	2906958043898814461	0 2 6 8 48 50 90 92 96 98	231854135652
STPT(12)	2906958807682212119	0 2 72 74 90 92 180 182 198 200 270 272	995637533310
SPT(16)	2906959031238161609	0 12 14 72 110 152 162 188 204 230 240 282 320 378 380 392	1219193482800
STPT(10)	2906959594631994437	0 2 30 32 42 44 54 56 84 86	1782587315628